Free Printable Add/Subtract/Multiply Polynomials

1.

$Simplify:\ (5p^2−3)+(2p^2−3p^3)$

a)

$-3p^3+7p^2-3$

b)

$3p^3+7p^2-3p$

c)

$p^3+3p^2-3$

d)

$-3p^3+7p^4-3$

2.

$Simplify:\ (4+2n^3)+(5n^3+2)$

a)

$7n^6+6$

b)

$7n^3+6$

c)

$20n^3+8$

d)

$20n^6+6$

3.

$Simplify:\ (-2x+9)\ -\ (3x–6)$

a)

$-5x+3$

b)

$5x-3$

c)

$-5x+15$

d)

$-x+3$

4.

$Simplify:\ \left(3x^4-3x\right)-\left(3x-3x^4\right)$

a)

$0$

b)

$-6x$

c)

$-6x^4+3x$

d)

$6x^4-6x$

5.

$Simplify:\ (4r^3+3r^4)−(r^4−5r^3)$

a)

$2r^4+9r^3$

b)

$3r^4+9r^3$

c)

$2r^4+9r^6$

d)

$5r^4-2r^3$

6.

$Simplify:\ (2x^2+3)+4x(x+3)$

a)

$2x^2+5x+6$

b)

$6x^2+12x+3$

c)

$6x^2+12x+6$

d)

$4x^2+6x+3$

7.

$Simplify:\ (−x^4+13x^5+6x^3)+(6x^3+5x^5+7x^4)$

a)

$18x^5+5x^4+13x^3$

b)

$18x^{10}+6x^8+12x^6$

c)

$18x^5+6x^4+12x^3$

d)

$18x^5+8x^4+6x^3$

8.

$Simplify:\ (8n−3n^4+10n^2)−(3n^2+11n^4−7)$

a)

$14n^4+7n^2+15n$

b)

$-14n^4+13n^2+8n-7$

c)

$14n^4+7n^2+8n+7$

d)

$-14n^4+7n^2+8n+7$

9.

$Simplify:\ \left(12a^5−6a−10a^3)−(10a−2a^5−14a^4\right)$

a)

$10a^5+14a^4-10a^3-16a$

b)

$10a^5-14a^4-10a^3-16a$

c)

$14a^5+14a^4-16a$

d)

$14a^5+14a^4-10a^3-16a$

10.

$Simplify:\ (−7x^5+14−2x)+(10x^4+7x+5x^5)$

a)

$-2x^5+10x^4+5x+14$

b)

$-2x^5+14x^4+5x+10$

c)

$-12x^5+10x^4+5x+14$

d)

$-12x^5+24x^4+5x$

11.

$Multiply:\ 2x(7x^2+x-6)$

a)

$9x^3+3x^2-4x$

b)

$14x^3+2x^2-12x$

c)

$14x^2+2x-12$

d)

$9x^3+2x-12$

12.

$Multiply:\ (3v+8)(3v-5)$

a)

$9v^2+9v-40$

b)

$6v^2+3v-40$

c)

$9v^2-3v-40$

d)

$6v^2+3v+3$

13.

$Multiply:\ 2k^3(2k^2+5k−4)$

a)

$4k^6+10k^3-8k^3$

b)

$4k^5+7k^4-8k^3$

c)

$4k^5+10k^4-8k^3$

d)

$4k^5+10k^4-2k^3$

14.

$Multiply:\ 7(6x^2+9xy+10y^2)$

a)

$13x^2+16xy+17y^2$

b)

$42x^3+63x^2y^2+70y^3$

c)

$42x^2+63xy+70y^2$

15.

$Multiply:\ 7x(6x+4y)$

a)

$42x+28xy$

b)

$13x^2+11xy$

c)

$42x^2+28xy$

d)

$42x^2+28y^2$

16.

$Multiply:\ (4x-1)(4x+1)$

a)

$16x^2-1$

b)

$16x^2+8x-1$

c)

$16x^2-8x+1$

d)

$16x^2+1$

17.

$Multiply:\ 2u(6u^2−9uv+v^2)$

a)

$12u^2-18u^2v+2uv^2$

b)

$12u^3-18u^2v+2uv^2$

c)

$12u^3-11u^2v+2u^2v^2$

d)

$8u^3-7u^2v+2uv^2$

18.

$Multiply:\ (3n+2)(n+3)$

a)

$3n^2+18n+6$

b)

$3n^2+8n+6$

c)

$3n^2+11n+5$

d)

$3n^2+11n+6$

19.

$Multiply:\ 4xy^2(3x^2–5xy+6y^2)$

a)

$12x^3y^2-20x^2y^3+24xy^4$

b)

$12x^3y^2-20x^2y^3+24xy^2$

c)

$7x^3y^2-x^2y^3+10xy^4$

d)

$12x^2y^2-20x^2y^3+24xy^4$

20.

$Multiply:\ (2x-3)(3x+3)$

a)

$6x^2-3x-9$

b)

$5x^2-9$

c)

$6x^2+3x-9$

d)

$6x^2-3x+6$

21.

$Multiply:\ –3x(x^4–7x^2+1)$

a)

$-3x^5+21x^3-3x$

b)

$-3x^4+21x^2-3x$

c)

$-3x^5-21x^3+3x$

d)

$-3x^5-10x^3-3x$

22.

$Multiply:\ –2xyz(3x^2+2y^2+z^2–4w^2)$

a)

$-6x^3yz-4xy^3z-2xyz^3+8w^2xyz$

b)

$x^3yz-xyz^3-6w^2xyz$

c)

$-6x^2yz-4xy^3z-2xyz^3+8w^2x^2y^2z^2$

d)

$6x^3yz+4xy^3z+2xyz^3-8w^2xyz$

Add/Subtract/Multiply Polynomials

Total questions: 22

Worksheet time: 22mins

Similar Resources on Wayground